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- W4300846570 abstract "Let $p_1,dots, p_9$ be the points in $mathbb A^2(mathbb Q)subset mathbb P^2(mathbb Q)$ with coordinates $$(-2,3),(-1,-4),(2,5),(4,9),(52,375), (5234, 37866),(8, -23), (43, 282), Bigl(frac{1}{4}, -frac{33}{8} Bigr)$$ respectively. We prove that, for any genus $g$, a plane curve of degree $3g$ having a $g$-tuple point at $p_1,dots, p_8$, and a $(g-1)$-tuple point at $p_9$, and no other singularities, exists and is a Brill-Noether general curve of genus $g$, while a general curve in that $g$-dimensional linear system is a Brill-Noether-Petri general curve of genus $g$." @default.
- W4300846570 created "2022-10-04" @default.
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- W4300846570 date "2015-11-23" @default.
- W4300846570 modified "2023-09-23" @default.
- W4300846570 title "Explicit Brill-Noether-Petri general curves" @default.
- W4300846570 doi "https://doi.org/10.48550/arxiv.1511.07321" @default.
- W4300846570 hasPublicationYear "2015" @default.
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